Dennis Eichhorn's Home Page

Hello! Welcome to my home page.
I work in the areas of Combinatorics and Analytic Number Theory here at
UCI's Math Department.
The primary focus of my research is in partition theory, but I do research in other areas as well.
My Erdös Number is 2, and I have an exciting mathematical genealogy.

I am happy to help anyone interested in training for the Putnam Exam.
I helped train the Putnam teams at both Cal State East Bay and The University of Connecticut,
and both teams found meeting to solve tons of cool problems to be highly enjoyable and very
Putnam-score beneficial. If you are interested in gathering to spend more time solving
beautiful and challenging problems, let me know by emailing me at:
deichhor (at) math (dot) uci (dot) edu
There is also an EEE forum for Math 194 that I will check regularly.

Here is some research stuff, which is pretty out of date, but will be updated soon:

• My CV.
• Summaries of my earlier manuscripts and publications in dvi, ps, or pdf formats (very out of date).
• Reviews of some of my earlier publications.
• "Congruences for partition functions" with Ken Ono in dvi, ps, or pdf formats.
• "A Combinatorial Approach to Partitions with Parts in the Gaps" in dvi, ps, or pdf formats.
• "Edge-Bandwidth of Theta Graphs" with Dhruv Mubayi, Kevin O'Bryant, and Doug West in dvi, ps, or pdf formats.
• "Edge-Coloring Cliques with Many Colors on Subcliques" with Dhruv Mubayi in dvi, ps, or pdf formats.
• "Gap Unification Theory: a Note on the Treatment of Partitions Via Their Gaps" in dvi, ps, or pdf formats.
• "Computational Proofs of Congruences for 2-colored Frobenius Partitions" with James Sellers in dvi, ps, or pdf formats.
• "Finitization Proofs of Congruences for t-cores" with James Sellers in dvi, ps, or pdf formats.
• My thesis, "Some Results on the Congruential and Gap-Theoretic Study of Partition Functions" in dvi, ps, or pdf formats.